LCM for 21 and 23
What's the Least Common Multiple (LCM) of 21 and 23?
Answer
(Four hundred eighty-three)
Finding LCM for 21 and 23 using GCF of these numbers
The first method to find LCM for numbers 21 and 23 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 21 and 23 is 1, so
LCM = (21 × 23) ÷ 1
LCM = 483 ÷ 1
LCM = 483
Finding LCM for 21 and 23 by Listing Multiples
The second method to find LCM for numbers 21 and 23 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525
Multiples of 23: 23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483, 506, 529
So the LCM for 21 and 23 is 483
Finding LCM for 21 and 23 by Prime Factorization
Another method to find LCM for numbers 21 and 23 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 21: 3, 7 (exponent form: 31, 71)
All Prime Factors of 23: 23 (exponent form: 231)
31 × 71 × 231 = 483
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/21--23">What is the LCM of 21 and 23? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers